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113430043440 = 2433577501987
BaseRepresentation
bin110100110100011110…
…1010001101100110000
3101211210010122020102000
41221220331101230300
53324301042342230
6124035315254000
711123621314050
oct1515075215460
9354703566360
10113430043440
114411833655a
1219b975aa300
13a9090116cc
1456c0971560
152e3d2d6b60
hex1a68f51b30

113430043440 has 160 divisors (see below), whose sum is σ = 446518325760. Its totient is φ = 25926863616.

The previous prime is 113430043393. The next prime is 113430043469. The reversal of 113430043440 is 44340034311.

113430043440 is a `hidden beast` number, since 1 + 13 + 4 + 300 + 4 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3735874 + ... + 3766113.

It is an arithmetic number, because the mean of its divisors is an integer number (2790739536).

Almost surely, 2113430043440 is an apocalyptic number.

113430043440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113430043440 is an abundant number, since it is smaller than the sum of its proper divisors (333088282320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113430043440 is a wasteful number, since it uses less digits than its factorization.

113430043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7502016 (or 7502004 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 113430043440 its reverse (44340034311), we get a palindrome (157770077751).

The spelling of 113430043440 in words is "one hundred thirteen billion, four hundred thirty million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 7501987 15003974 22505961 30007948 37509935 45011922 52513909 60015896 67517883 75019870 90023844 105027818 112529805 120031792 135035766 150039740 157541727 180047688 202553649 210055636 225059610 262569545 270071532 300079480 315083454 337589415 360095376 405107298 420111272 450119220 472625181 525139090 540143064 600158960 630166908 675178830 787708635 810214596 840222544 900238440 945250362 1012768245 1050278180 1080286128 1260333816 1350357660 1417875543 1575417270 1620429192 1800476880 1890500724 2025536490 2100556360 2363125905 2520667632 2700715320 2835751086 3150834540 3240858384 3781001448 4051072980 4201112720 4726251810 5401430640 5671502172 6301669080 7089377715 7562002896 8102145960 9452503620 11343004344 12603338160 14178755430 16204291920 18905007240 22686008688 28357510860 37810014480 56715021720 113430043440